Shear Force and Bending Moments
These tutorial questions consider statically determinate simply supported beams subjected to a variety of loading conditions. They get progressively more complex and are designed to be worked through sequentially. When selected, the span and loading conditions for each tutorial question are randomly generated giving an infinite number of possible questions to be attempted. Additionally there are randomly generated worked examples, printed tutorial sheets, study notes and video tutorials.
Each tutorial is selected by selecting the appropriate question number below.
- The analysis associated with these tutorial questions will round all your input values as follows:
- Forces, e.g. vertical and horizontal reactions (kN) - 1 decimal place.
- Bending moments (kNm) - 1 decimal place.
- Dimensions (m) - 3 decimal places.
- Numeric answers are required in all the fields. If you calculate a force or a moment as being zero, enter zero (0) in the appropriate field. If no answer is given it will be evaluated as zero.
- UDL - Universally Distributed Load; magnitude of load remains uniform throughout the length of the beam.
- PL - Point Load; concentrated load acting over a small distance, can be considered to be acting on a point.
- PUDL - Partial Universally Distributed Load; magnitude of load remains uniform throughout a portion length of the beam (not over the full span as with a UDL).
- TDL - Triangular Distributed Load; magnitude of load varies along the portion length of the beam over which it acts.
- VPDL - Varying Partially Distributed Load; made up of a partially distributed load (PDL) and a triangular distributed load (TDL), both acting over the same portion length of the beam.